Final answer:
In Mathematics, a Middle School student might encounter subtraction problems with variables and coefficients. By carefully following the order of operations and combining like terms, they can find the solution to given algebraic expressions, such as simplifying the sum of terms and then subtracting as required.
Step-by-step explanation:
The subject of these questions is Mathematics and it is aimed at Middle School level. The tasks involve two separate subtraction operations with equations. Let's tackle each one step by step.
First Equation:
Subtract x−15 from the sum of 2x−8 and −3(−2+2). To perform this operation, we start by simplifying the sum:
2x−8 + −3(−2+2) = 2x−8 + 0 (since −2+2 equals zero)
2x−8 (since adding zero doesn't change the value)
Now we subtract x−15:
(2x−8) − (x−15) = 2x−x−8+15 = x+7
Second Equation:
Subtract 6b−3 from 3b−15. Write it as an equation:
(3b−15) − (6b−3) = 3b−6b−15+3 = −3b−12